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3 years ago

Estimate how many hours it take a shark to swim 200 miles if he swims 33 mph

Mathematics

2 answers:

babymother [125]3 years ago

8 0

Approximately 6 hours

TiliK225 [7]3 years ago

6 0

It would take approximately 6.06 hours because you have to divide 33 by 200.

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Prove each of these identities.

Virty [35]

<h3>Answer:</h3>

➲ ( 1 + sec x )( cosec x - cot x ) = tan x

Solving for L.H.S

$\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }$

$\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}$

$\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }$

➲ ( 1+ sec x )( 1- cos x ) = sin x. tan x

Solving for L.H.S

$\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}$

$\implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}$

$\implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}$

$\implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }$

$\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }$

$\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }$

7 0

3 years ago

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

kari74 [83]

For this we will use equation that gives us equation of line that goes through 2 given points.

that equation is:
$y - y1= \frac{y2 - y1}{x2 - x1} (x - x1)$

now we implement our given coordinates.
let Q be point 1 and R be point 2
y - 1 = 6/2(x - 0)
y - 1 = 3x

Answer is b.

5 0

3 years ago

- = 0.393 as a fraction?

anzhelika [568]

Answer:

The answer is 393/1000

Step-by-step explanation:

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4 years ago

What is 3a+6b= 4 for b Really need help

saw5 [17]

3a+6b=4

-3a both sides

6b=4-3a

÷6 both sides

b=2/3 -1/2 a

5 0

3 years ago

What point has coordinates of (-5,-2)

Sonja [21]

Point C has the coordinates: (-5, -2)

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3 years ago

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